Navier Stokes Equation to create a Velocity Profile

AI Thread Summary
The discussion focuses on deriving a velocity profile for an incompressible, viscous fluid between two parallel plates moving in opposite directions. The Navier-Stokes equations are applied under the assumption of laminar flow and a zero pressure gradient in the x-direction. Participants express a need for clarity in understanding and utilizing the Navier-Stokes equations effectively. A resource link is provided to assist in the derivation process. The conversation emphasizes the importance of grasping the fundamental concepts of fluid dynamics for successful application.
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Homework Statement


An incompressible, viscous fluid is placed between horizontal, infinite, parallel
plates. The two plates move in opposite directions with constant velocities U1 and U2. The pressure gradient in the x-direction is zero and the only body force is due to the fluid weight. Use the Navier‐Stokes equations to derive an expression for the velocity distribution between the plates. Assume laminar flow.


Homework Equations


Obviously the "standard" Navier-Stokes Equation

Can anyone help me, I've never been properly able to understand and utilise the Navier-Stokes Equation?
 
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Maybe this link can be helpful for you:

http://www.engineering.uiowa.edu/~fluids/Posting/Schedule/Quiz/Quiz8.pdf
 
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